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Finding the Fourth Proportional to 5,877.80, 8,815.10 and 1,981.64

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Solution

The fourth proportional to 5,877.80, 8,815.10 and 1,981.64 is: 2,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.80 : 8,815.10 = 1,981.64 : x
  2. Step 2: Convert to fraction form
    5,877.80/8,815.10 = 1,981.64/x
  3. Step 3: Cross multiply
    5,877.80x = 8,815.10 × 1,981.64
  4. Step 4: Simplify right side
    5,877.80x = 17,468,354.76
  5. Step 5: Solve for x
    x = 17,468,354.76/5,877.80
  6. Step 6: Final answer
    x = 2,971.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.